Trend and Applications of Mathematics to Mechanics

On the instability of double diffusive convection in porous media under boundary data periodic in space.- Modelling of a free piston problem.- Reflections on frequently used viscoplastic constitutive models.- On hereditary models of polymers.- Edge contact forces in continuous media.- Tangent stiffness of a Timoshenko beam undergoing large displacements.- Qualitative estimates for cross-sectional measures in elasticity.- On nonlinear global stability of Jeffery-Hamel flows.- Energy penalty, energy barrier and hysteresis in martensitic transformations.- On the applicability of generalized strain measures in large strain plasticity.- A nonlocal formulation of plasticity.- Consistent order extended thermodynamics and its application to light scattering.- On instability sources in dynamical systems.- Tangent stiffness of elastic continua on manifolds.- Basic issues in convex homogenization.- Tangent stiffness of polar shells undergoing large displacements.- Global existence of smooth solutions and stability of the constant state for dissipative hyperbolic systems with applications to extended thermodynamics.- Central schemes for conservation laws with application to shallow water equations.- Regularized 13 moment equations for rarefied gas flows.- Hydrodynamic calculation for extended differential mobility in semiconductors.- Small planar oscillations of an incompressible, heavy, almost homogeneous liquid filling a container.- Thermodynamics of simple two-component thermo-poroelastic media.